4.92x^2+9.8x+0=-3

Simple and best practice solution for 4.92x^2+9.8x+0=-3 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4.92x^2+9.8x+0=-3 equation:


Simplifying
4.92x2 + 9.8x + 0 = -3

Reorder the terms:
0 + 9.8x + 4.92x2 = -3
Remove the zero:
9.8x + 4.92x2 = -3

Solving
9.8x + 4.92x2 = -3

Solving for variable 'x'.

Reorder the terms:
3 + 9.8x + 4.92x2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 9.8x + 4.92x2 = 0

Begin completing the square.  Divide all terms by
4.92 the coefficient of the squared term: 

Divide each side by '4.92'.
0.6097560976 + 1.991869919x + x2 = 0

Move the constant term to the right:

Add '-0.6097560976' to each side of the equation.
0.6097560976 + 1.991869919x + -0.6097560976 + x2 = 0 + -0.6097560976

Reorder the terms:
0.6097560976 + -0.6097560976 + 1.991869919x + x2 = 0 + -0.6097560976

Combine like terms: 0.6097560976 + -0.6097560976 = 0.0000000000
0.0000000000 + 1.991869919x + x2 = 0 + -0.6097560976
1.991869919x + x2 = 0 + -0.6097560976

Combine like terms: 0 + -0.6097560976 = -0.6097560976
1.991869919x + x2 = -0.6097560976

The x term is 1.991869919x.  Take half its coefficient (0.9959349595).
Square it (0.9918864436) and add it to both sides.

Add '0.9918864436' to each side of the equation.
1.991869919x + 0.9918864436 + x2 = -0.6097560976 + 0.9918864436

Reorder the terms:
0.9918864436 + 1.991869919x + x2 = -0.6097560976 + 0.9918864436

Combine like terms: -0.6097560976 + 0.9918864436 = 0.382130346
0.9918864436 + 1.991869919x + x2 = 0.382130346

Factor a perfect square on the left side:
(x + 0.9959349595)(x + 0.9959349595) = 0.382130346

Calculate the square root of the right side: 0.618166924

Break this problem into two subproblems by setting 
(x + 0.9959349595) equal to 0.618166924 and -0.618166924.

Subproblem 1

x + 0.9959349595 = 0.618166924 Simplifying x + 0.9959349595 = 0.618166924 Reorder the terms: 0.9959349595 + x = 0.618166924 Solving 0.9959349595 + x = 0.618166924 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9959349595' to each side of the equation. 0.9959349595 + -0.9959349595 + x = 0.618166924 + -0.9959349595 Combine like terms: 0.9959349595 + -0.9959349595 = 0.0000000000 0.0000000000 + x = 0.618166924 + -0.9959349595 x = 0.618166924 + -0.9959349595 Combine like terms: 0.618166924 + -0.9959349595 = -0.3777680355 x = -0.3777680355 Simplifying x = -0.3777680355

Subproblem 2

x + 0.9959349595 = -0.618166924 Simplifying x + 0.9959349595 = -0.618166924 Reorder the terms: 0.9959349595 + x = -0.618166924 Solving 0.9959349595 + x = -0.618166924 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9959349595' to each side of the equation. 0.9959349595 + -0.9959349595 + x = -0.618166924 + -0.9959349595 Combine like terms: 0.9959349595 + -0.9959349595 = 0.0000000000 0.0000000000 + x = -0.618166924 + -0.9959349595 x = -0.618166924 + -0.9959349595 Combine like terms: -0.618166924 + -0.9959349595 = -1.6141018835 x = -1.6141018835 Simplifying x = -1.6141018835

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.3777680355, -1.6141018835}

See similar equations:

| x+4(1)=12 | | (3x-2)x(7x+1)=0 | | -2x+3(2x+3)=25+8x | | 3(x-2)(x-2)=450 | | 6+c(12)=x | | 8(p-3)=-9+5p | | (7.7x+7.2)+(7.8x+8.4)=110.15 | | 8x-34=-7(-2-8x) | | 4k-22=-5(-8k-2)+4 | | -500=5x | | -12+4x=3x-3 | | -8y+35=-107 | | (0.2x+67)+(0.2x+29)=180 | | -8n+11=59 | | 8x-22=6(3x+3) | | 8x-22=-6(3x+3) | | 6x-5x-5=-8-2x-24 | | 0.05=logx | | 5(x-7)=6x | | 6+18x=16x-40-4 | | 5x-8x=-4+x | | 3x=42-5x | | -3(y-5y)+8=-4(3y-y)+2+19y | | 5x^3+x^2+20x-4=0 | | -1/3-3/1 | | (0.1x-27)+(0.3x-45)=90 | | 4/3(3.14)(9)^3 | | 0.8x-0.7(8-4x)=-0.4(x-6) | | 4x+4y+8z-2x+4z-8y= | | 8a-24+3n=6a+1 | | 2/3=6x=4 | | 21y+5=7 |

Equations solver categories